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Given the function y = 2Sin (3x + π / 6), when the function y takes the maximum value, the set of independent variables X
The function y = 2Sin (3x + π / 6) when y is the maximum
There are 3x + π / 6 = 2K π + π / 2
That is, x = 2K π / 3 + π / 9, K ∈ Z
So the set of X is {x | x = 2K π / 3 + π / 9, K ∈ Z}
Why is it that the value range of the independent variable of the piecewise function can be divided into several cases
I am a beginner, please forgive me
Dear students, you still don't understand the meaning of piecewise function. It's because the analytic expression of function in each paragraph can't be summarized in one, so it can be divided into several paragraphs
Piecewise function: for different value ranges of independent variable x, there are different corresponding rules. Such a function is usually called piecewise function. It is a function, not several functions: the domain of a piecewise function is the union of the domain of each function, and the range of values is also the union of the domain of each function
How to distinguish independent variable and dependent variable in function? For example, y = 5x + 3
Is a single letter a dependent variable on one side?
X is self variable, y is self variable. If you take a look at this formula, we use the algebraic expression of X to express y. y is a function of X, then y is self variable and X is self variable
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